Question

If a : b = 3 : 2 and b:c=4:5, find a : c.
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Answer 1

We are given with two simple ratios

a:b=2:3,

b:c=4:5

When we want the combined ratio of these kind of ratios like a:b:c, we do have a small trick.

In a:b:c the ratio component of ‘a’ will be the product of compnent of ‘a’ in a:b and component of ‘b’ in b:c I.E., 2*4=8. a=8.

Component of ‘b’ will be product ‘b’ components in both the ratios I.E., 4*3=12. b=12

Component of c will be product of Component of b in a:b and c component in b:c I.E., 5*3=15. C=15

Answer 2

Answer:

Step-by-step explanation:

a:c = 3:2

b:c = 4:5

a,b and c are in continued proportion

LCM OF 2&4 = 4

a:b = 2(3:2)

a:b= 6:4

a:b:c = 6:4:5

a:c = 6:5